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Finding the Fourth Proportional to 621.62, 932.41 and 256.40

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Solution

The fourth proportional to 621.62, 932.41 and 256.40 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.62 : 932.41 = 256.40 : x
  2. Step 2: Convert to fraction form
    621.62/932.41 = 256.40/x
  3. Step 3: Cross multiply
    621.62x = 932.41 × 256.40
  4. Step 4: Simplify right side
    621.62x = 239,069.92
  5. Step 5: Solve for x
    x = 239,069.92/621.62
  6. Step 6: Final answer
    x = 384.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.